7th Class Mathematics Algebraic Expressions Question Bank Algebra

  • question_answer
    Simplest form of \[{{\left( \frac{4}{9} \right)}^{3/2}}\]is

    A)  \[{{\left( \frac{9}{4} \right)}^{2/3}}\]                    

    B)  \[\frac{8}{27}\]

    C)  \[\frac{27}{8}\]                                 

    D)  \[{{\left( \frac{8}{27} \right)}^{2}}\]

    Correct Answer: B

    Solution :

     \[{{\left( \frac{4}{9} \right)}^{\frac{3}{2}}}={{\left\{ {{\left( \frac{2}{3} \right)}^{2}} \right\}}^{\frac{3}{2}}}={{\left( \frac{2}{3} \right)}^{3}}=\frac{8}{27}\]


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